Write the system of linear equations that represents the situation.

Question

7x + 5 y = 584

5x + 3y = 384

Answer 1

Multiply the first by 5 to get

35x +25y = 2920

Multiply the 2nd by 7 to get

35x+21y = 2688

subtract the 2nd from the first to get

4y = 232 divide by 4

y = 58

substitute that into the 2nd equation to get

5x + 3(58) = 384

5x = 384 - 174 = 210

x = 210/5 = 42

check the answers

substitute into the 1st equation

7x+5y=584

7(42)+5(58) = 584

294 + 290 = 584

584 =584

if you were asking for a more simple system of linear equations representing the two given ones,

y=58

x=42

is a far more simple system of two linear equations